I think you're using poor as a proxy for uninvolved parents.
I'd actually be interested in the data if anyone has it. If you have no dad and mom is working then you're at a huge disadvantage no matter what.
These same kids ruin school for everyone else. Dead beat parents treat school like a day-care and ruins the learning experience for everyone else.
Also poor kids go to poor schools. 35 kids to a class, teacher who has mentally checked out 3 decades ago, gang activity in the halls, books are literally falling apart.
Going to a poor school sucks more than learning from home. Bullies and gang activities are rampant. School administration doesn't care because those stats make the school look bad. Yuck